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Finding the Fourth Proportional to 200,867.60, 301,301.40 and 116,886.80

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Solution

The fourth proportional to 200,867.60, 301,301.40 and 116,886.80 is: 175,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,867.60 : 301,301.40 = 116,886.80 : x
  2. Step 2: Convert to fraction form
    200,867.60/301,301.40 = 116,886.80/x
  3. Step 3: Cross multiply
    200,867.60x = 301,301.40 × 116,886.80
  4. Step 4: Simplify right side
    200,867.60x = 35,218,156,481.52
  5. Step 5: Solve for x
    x = 35,218,156,481.52/200,867.60
  6. Step 6: Final answer
    x = 175,330.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.